पृष्ठम्:लघुभास्करीयम्.djvu/१४७

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एतत् पृष्ठम् अपरिष्कृतम् अस्ति


CHAPTER V THE SOLAR ECLIPSE Definition of the local divisor : 1. Multiply the radius by the Rsine of the colautude and divide by the Rsine of the (Sun's) greatest declmaton . the result is called the local divisor. The divisor defined here will be used in stanza 6 below. It is called local, because it depends on the latitude ot the local place. A rule relating to the determination of the tropical longitude ct the meridian ecliptic point for the time of geocentric conjunc tion of the Sun and Moon : , 2-4(i). Having calculated the asus (of the right ascension) of the traversed portion of the Sun's sign, by proportion with the right ascension of the Sun's sign,* and (then) having subtracted them from the asus between the times of geocentric conjunction of the Sun and Moon and midday, subtract the traversed por- tion of the Sun's sign from the Sun's longitude. From the re- mainder also subtract, in the reverse order, as many signs as have their right ascensions included (in the ^"^f^^" also) the degrees and minutes (of the fraction) of a g?> ^ The result (thus obtained) is known as the (tropical) longitude of the meridian ecliptic point in the forenoon. (When the geocentric conjunction of^ the Sun and Moon ocean) in the afternoon, addition should be made of the untra- versed portion of the Sun's sign, etc. 2 As regards the determination of the asus between the times of geocentnc conjunction of the Sun and Moon, and midday, the commentato. : nUyana says : "On the desired day whatever be the tun. * junction of the Sun and Moon, convert that >nto asus and also reduce to T^hTIscension of the Sun's sign" is the same as "the time of rising of the Sun's sign at Lanka."

  • Cf. MBh, v. 8-11.